A novel numerical approach for distributed order time fractional COVID-19 virus model

Journal of Applied Research on Industrial Engineering

article

Mohsen Khasteh¹  Amir Hossein Refahi Sheikhani¹  Farhad Shariffar² 

[1] Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University;Department of Applied Mathematics, Fouman and Shaft Branch, Islamic Azad University

关键词: Covid-19 Virus;    Distributed-order;    Finite difference method;    Caputo-Prabhakar derivative;   

DOI  :  10.22105/jarie.2022.305182.1381

学科分类：外科医学

来源: Ayandegan Institute of Higher Education

【 摘 要 】

In this paper, we proposed a numerical approach to solve a distributed order time fractional COVID 19 virus model. The fractional derivatives are shown in the Caputo-Prabhakar contains generalized Mittag-Leffler Kernel. The coronavirus 19 disease model has 8 Inger diets leading to system of 8 nonlinear ordinary differential equations in this sense, we used the midpoint quadrature method and finite different scheme for solving this problem, our approximation method reduce the distributed order time fractional COVID 19 virus equations to a system of algebraic equations. Finally, to confirm the efficiency and accuracy of this method, we presented some numerical experiments for several values of distributed order. Also, all parameters introduced in the given model are positive parameters.

【 授权许可】

CC BY